Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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you might need: calculator a circle is centered at q(1, -5) and has a r…
B. On the circle
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what is the sum of the squares of the legs of a right triangle with sid…
a. 169 d. The triangle is obtuse
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which of the following statements and justifications would prove that t…
$\angle1\cong\angle9$, by Converse of Alternate Exterior Angles; $\angle1\cong\angle5$, by Converse of Corresponding Angles
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one line passes through the points (-8,1) and (4,4). another line passe…
C. Neither
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a denotes the area of the sector of a circle of radius r formed by the …
$12.566$
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find the length s of the arc of a circle of radius 10 centimeters subte…
$4.189$
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what are the vertical and horizontal intercepts of the vertical line th…
B. There is no vertical intercept. A. The horizontal intercept of the line is $(-3,0)$
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28. b is a point on the circumference of a circle with centre o. ab is …
$\angle AOB\approx77.6^{\circ}$
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find the distance between the pair of points (-3, -4) and (5, -3). if n…
A. The distance between the given points is approximately 8.06 units.
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what are the vertical and horizontal intercepts of the vertical line th…
B. There is no vertical intercept.
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show all your work to earn full marks. 1. find the missing lengths. the…
$VT = 54$, $UT = 27$ (Note: The value of $UT$ may vary depending on the complete information about the corresponding sides, but the method of using the ratio of similar - triangle…
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find the distance between the pair of points (-3, -4) and (5, -3). if n…
$\sqrt{65}\approx8.06$
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the pre - image, $delta$stu, has undergone a type of transformation cal…
ST = VW SU = VX TU = WX $m\angle SUT = m\angle VXW$ $m\angle TSU = m\angle WVX$ $m\angle UTS = m\angle XWV$
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solve the inequality. graph the solution set and write it in interval 3…
The graph with an open circle at 3 and a ray pointing to the right (assuming one of the options has this characteristic). Since the options are not fully visible, but based on the…
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what are the vertical and horizontal intercepts of the horizontal line …
The vertical intercept of the line is \((0,5)\) and there is no horizontal intercept. Since the options only ask about the vertical intercept, the correct choice is not among the …
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find the length s of the arc of a circle of radius 25 feet subtended by…
$16.963$
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find the measure of the missing angle.
$68^{\circ}$
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14.8.2 test (cst): conic sections the vertex of the parabola below is a…
A. $y=(x + 3)^2-5$
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find the measure of the missing angles. answer b = c =
$b = 31^{\circ}$, $c=149^{\circ}$
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δabc ≅ δfed. use the diagrams to identify corresponding parts. side ac …
Side \(AC\) corresponds to side \(FD\). Angle \(BAC\) corresponds to angle \(EFD\).
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name the angle pair relationship for: ∠16 and ∠12 answer corresponding …
A. Corresponding
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14.8.2 test (cst): conic sections the vertex of the parabola below is a…
D. $x=-2(y + 2)^2-4$
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determine if each represents a function. if it is not a function, expla…
1. Analyze one - to - one mapping or vertical - line test for functions. 2. Function. 3. Function. 4. Not a function. 5. Not a function. 6. Function. 7. 12 8. 7 9. 20 10. - 7
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solve the inequality. graph the solution set and write it in interval n…
The correct graph is the one with an open circle at $-5$ and the line extending to the right. In interval notation, the solution set is $(-5,\infty)$
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greetings. i am the editor working on your childrens book, skyblue. enc…
B. Circle it and explain your objection on the back of the page.
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name the angle pair relationship for: ∠6 and ∠15 answer corresponding a…
A. Corresponding
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14.8.2 test (cst): conic sections which of the following equations will…
A. $x-\frac{1}{8}y^{2}=0$
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greetings, i am the editor working on your childrens book, skyblue. enc…
B. Initial the bottom right corner of each page.
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27. b, d and e are points on the circumference of a circle. ac is a tan…
$52.5^{\circ}$
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if a right circular cone is intersected by a plane that passes through …
A. An ellipse
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if the sides of a triangle are a = 10, b = 24, and c = 26, verify if th…
1. b. Yes, because $a^{2}+b^{2}=c^{2}$ 2. a. $a^{2}+b^{2}=c^{2}$
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why is the converse of the pythagorean theorem important? a. to determi…
1. A. To determine whether a triangle is a right triangle 2. A. By calculating numerical values
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if (a^{2}+b^{2}>c^{2}), what type of triangle is formed? a. acute trian…
1. A. Acute triangle 2. B. Algebraic equations
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which of the following is a result of shifting a circle with equation (…
D. The $y$-coordinate of the center of the circle increases by 3.
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what is the distance between the two endpoints in the graph below? if n…
D. 15.81 units
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what is the equation of a circle with center (-4, 7) and radius 6? a. (…
D. $(x + 4)^2+(y - 7)^2=36$
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solve the inequality. graph the solution set and write it in interval 2…
The correct graph is the one with an open - circle at - 2 and an arrow pointing to the left (assuming option C is of this type). The solution in interval notation is $(-\infty,-2)…
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14.8.2 test (cst): conic sections this circle is centered at the point …
B. \((x - 2)^2+(y - 6)^2=16\)
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1. evaluate if a = 4, b = 6, and c = 2. 2a + 2c 2.find the number. 30% …
1. 12 2. 45 3. $96.25$ $km^{2}$ 4. 2 5. $3\frac{11}{15}$ cups of sugar
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the verbs ser and estar (continued) c. circle the correct form of the v…
1. son 2. soy 3. es
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find the length s of the arc of a circle of radius 25 feet subtended by…
$17.027$
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the diagram below is a model that describes how to find the length of o…
A. Mathematical
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what is the center of the circle given by the equation (x + 5)^2+(y - 8…
B. (-5, 8)
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4. what is the slope of the line that passes through the points m(-5,0)…
$\frac{8}{11}$
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find the length s of the arc of a circle of radius 25 feet subtended by…
$16.963$
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what is the midpoint of the segment below? (2, 3) (-3, -2) a. (-0.5, 0.…
A. (-0.5, 0.5)
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6. triangle mnp and triangle jkl are similar right triangles. which pro…
The proportion \(\frac{0-(-4)}{-4 - (-1)}=\frac{4 - 8}{-7-(-10)}\)
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which of the following equations correctly represents a circle centered…
A. \(x^{2}+y^{2}=100\)
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the graph of the equation below is a circle. what is the length of the …
C. 17
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convert the angle to d°m′s′′ form. 32.22° 32.22° = □°□′□′′ (round to th…
$32^{\circ}13'12''$
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a parabola is the set of all points that: a. are the same distance from…
B. are the same distance from a point and a line.
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the lengths of the legs of a right triangle are 5 centimeters and 10 ce…
11.2 cm
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the black figure is an ellipse, and the black line segment is its major…
D. 10.5
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mike leans a 10 - foot ladder against a wall. he puts the bottom of the…
B. 9.5 feet
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the lengths of the sides of △mno are 40 centimeters, 50 centimeters, an…
\(30^{2}+40^{2}=50^{2}\)
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the legs of a right triangle measure 20 centimeters and 21 centimeters.…
C. 29
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in the figure below, d is the mid - point of ac, and bd is perpendicula…
D. 20 centimeters
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a window washer leans a 13 - foot ladder against a house. the bottom of…
12 feet
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what is the volume of this object? cubic units
10
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convert the angle to d°m′s″ form 69.26°. 69.26° = □°□′□″ (round to the …
$69^{\circ}15'36''$
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a triangle is a right triangle if the lengths, a, b, and c, of its thre…
C. a triangle with sides measuring 20, 21, and 29
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convert the angle to a decimal in degrees. 57°5232 57°5232 = □° (do not…
$57.8756$
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the side of a tv screen is measured along the diagonal. a 25 inch tv sc…
15
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greetings. i am the editor working on your childrens book, skyline. enc…
B. Initial the bottom right corner of each page.
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convert the following angle in radians to degrees. 2.55 2.55 radians ≈ …
$146.10$
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what is the value of x in the right triangle shown below? 8 feet 12 fee…
B. 12 feet
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convert the following angle in degrees to radians. 140° 140°≈□radian(s)…
$2.44$
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what is the area of the trapezoid? 3 in. 5 in. 4 in. 5 in. 9 in. square…
24
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quadrilateral $abcd$ has the following vertices: $a(2,7)$ $b(8,1)$ $c(1…
No, because only one pair of opposite - sides has equal slopes.
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convert the following angle in degrees to radians. - 24° - 24° ≈ □ radi…
$-0.42$
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convert the angle in radians to degrees. -\\frac{2\\pi}{3} -\\frac{2\\p…
$-120$
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the diagram shows the placement of a ladder against cheris house. the l…
B. 7 feet
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6. given: da⊥ab, cb⊥ab, da≅cb, m is the mid - point of ab. prove: △adm≅…
$\triangle ADM\cong\triangle BCM$ (by SAS)
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convert the angle in radians to degrees. \\frac{5\\pi}{18} \\frac{5\\pi…
$50$
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convert the angle in degrees to radians. - 180° - 180° = □ radian(s) (s…
$-\pi$
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a right angle is made where the top of a ladder meets the top of a slid…
$\sqrt{194}$ meters
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the ____ incident occurred at the same time as the great chicago fire. …
C. Peshtigo
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alex is building a ramp for a bike competition. he has two rectangular …
3.3 meters
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triangle (abc) has the following vertices: • (a(-4,6)) • (b(6,6)) • (c(…
C. No, because $\overline{BC}$ is longer than $\overline{AB}$.
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based on the measurements in the diagram, what is k? a. 8 ft. b. 11 ft.…
C. 12 ft.
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ser practice circle the form of ser that completes the sentence 1. yo (…
1. Yo soy de Puerto Rico. 2. Él es mi profesor de español. 3. Nosotras somos amigas. 4. ¿Eres usted de Costa Rica? 5. Ellos son cubanos. 6. Tú eres mi amiga. 7. ¿Son ustedes profe…
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triangle abc has the following vertices: • a(1,9) • b(11, - 7) • c(-9,3…
D. No, because $\triangle ABC$ doesn't have a pair of perpendicular sides.
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given the diagram shown here, if (mangle8 = 17p + 11) and (mangle4 = 12…
Since \( \angle8 \) and \( \angle4 \) are corresponding angles (assuming the lines are parallel as is common in such set - ups), they are equal. So we set up the equation \(17p + …
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quadrilateral abcd has the following vertices: • a(0,6) • b(3,5) • c(0,…
Yes, because opposite sides are parallel and adjacent sides are perpendicular.
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given the diagram shown here, if m∠1 = 106°, what is m∠2? ○m∠2 = 74° ○m…
$m\angle2 = 106^{\circ}$
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in exercises 3 and 4, find the geometric mean of the two numbers. 3. 2 …
1. Geometric mean of 2 and 6: \(2\sqrt{3}\) 2. Geometric mean of 5 and 45: 15 3. Value of \(x\) in Exercise 5: 12 4. Value of \(y\) in Exercise 6: \(\sqrt{14}\) 5. Value of \(t\) …
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the diagram below shows the dimensions of a rectangular field. what is …
200 ft
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which expression gives the length of the transverse axis of the hyperbo…
None of the above options are correct as the length of the transverse axis of a hyperbola is \(2a\) and not expressible as \(a + b\), \(a - b\), \(2(a - b)\) or \(2(a + b)\) based…
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14.8.2 test (cst): conic sections which expression gives the length of …
None of the given options (A. \(a + b\), B. \(a - b\), C. \(2(a - b)\), D. \(2(a + b)\)) are correct as the length of the transverse axis of a hyperbola is \(2a\) and not represen…
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a rectangular piece of paper measures 10 centimeters wide by 17 centime…
20 centimeters
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part 5 - multiple choice practice instructions: circle the correct answ…
1. c) Domingo 2. a) Roja 3. a) tres 4. c) Él 5. b) Nosotras 6. a) Él 7. b) miércoles 8. b) azul
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a new pipeline is being constructed to re - route its oil flow around t…
A. 24
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14.8.2 test (cst): conic sections the vertex of the parabola below is a…
B. $y = 4(x - 3)^2+2$
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9. use the diagram below to answer the following questions. a) name a t…
### 9. a) Line $l$ b) $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$ c) $\angle2$ and $\angle7$, $\angle3$ and $\angle6$ d) $\a…
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which statement about the length of the hypotenuse of a right triangle …
The hypotenuse is between 11 and 12 inches.
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the equation below describes a circle. what are the coordinates of the …
A. $(6,-5)$
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9. use the diagram below to answer the following questions. a) name a t…
# Explanation: ## Step1: Recall transversal definition A transversal is a line that intersects two or more other lines. In the first diagram, line $l$ intersects lines $j$ and $k$…
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question 8 of 10 how many degrees is the angle below? do not include un…
140
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find m∠1 and m∠2. tell which theorem can be
$m\angle1 = 150^{\circ}$, $m\angle2 = 30^{\circ}$; Vertical Angles Theorem for ∠1, Linear - Pair Postulate for ∠2
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what is the name of the line that you use to define a parabola? a. para…
D. Directrix